75650506049664 has 1024 divisors, whose sum is σ = 280375448371200. Its totient is φ = 19550053416960.

The previous prime is 75650506049623. The next prime is 75650506049707. The reversal of 75650506049664 is 46694060505657.

75650506049664 is a `hidden beast` number, since 7 + 5 + 6 + 505 + 0 + 60 + 4 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4024595914 + ... + 4024614710.

It is an arithmetic number, because the mean of its divisors is an integer number (273804148800).

Almost surely, 2^{75650506049664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75650506049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140187724185600).

75650506049664 is an abundant number, since it is smaller than the sum of its proper divisors (204724942321536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75650506049664 is a wasteful number, since it uses less digits than its factorization.

75650506049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19098 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 75650506049664 in words is "seventy-five trillion, six hundred fifty billion, five hundred six million, forty-nine thousand, six hundred sixty-four".